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102213300 = 22352748673
BaseRepresentation
bin1100001011110…
…10011010110100
321010022222021210
412011322122310
5202131311200
614050441420
72350540650
oct605723264
9233288253
10102213300
1152773402
122a293270
131823a057
14d809a60
158e90650
hex617a6b4

102213300 has 72 divisors (see below), whose sum is σ = 337992256. Its totient is φ = 23362560.

The previous prime is 102213271. The next prime is 102213301. The reversal of 102213300 is 3312201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22237 + ... + 26436.

Almost surely, 2102213300 is an apocalyptic number.

102213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102213300 is an abundant number, since it is smaller than the sum of its proper divisors (235778956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102213300 is a wasteful number, since it uses less digits than its factorization.

102213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48697 (or 48690 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102213300 is about 10110.0593470068. The cubic root of 102213300 is about 467.5583348713.

Adding to 102213300 its reverse (3312201), we get a palindrome (105525501).

The spelling of 102213300 in words is "one hundred two million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 48673 97346 146019 194692 243365 292038 340711 486730 584076 681422 730095 973460 1022133 1216825 1362844 1460190 1703555 2044266 2433650 2920380 3407110 3650475 4088532 4867300 5110665 6814220 7300950 8517775 10221330 14601900 17035550 20442660 25553325 34071100 51106650 102213300